Red Hill Knives

Matrix Hand

How does one prove that the determinant of a right hand rotation matrix must be +one?

The rotation matrix is
[cos (t) -sin(t)]
[sin(t) cos(t)]

So the determinant is cos^2(t) – (- sin^2(t)) = cos^2(t) + sin^2(t) = 1

40" Razor Sharp Hand Forged Matrix Tsuba Japan Samurai Sword Cut Bamboo Blade $9.99

40"Razor Sharp Hand Forged Japan Matrix Tusba Samurai Sword Cut Bamboo $9.99

40"Razor Sharp Matrix Hand Forged Japan Samurai Sword Katana Cut Bamboo Blade $21.35

40" Razor Sharp Hand Forged Matrix Tsuba Japan Samurai Sword Can Cut Bamboo $9.99

40"Razor Sharp Hand Forged Matrix Japan Samurai Sword Katana Cut Bamboo Blade $9.99

40.6" Hand Forged Khaki Japanese Sword Matrix Tsuba  $26.69

Hand Forged Japanese Sword Wakizashi Matrix Tsuba 1761 $39.99

32.3" Matrix Tsuba Hand Forged Japanese Wakizashi  $26.69